Pulse tube liner

Abstract
The pulse tube 59 of a pulse tube refrigerator is equipped with a thin liner 80 of low thermal mass and in poor thermal contact with pulse tube 59. One surface of liner 80 may be furnished with indented recesses 86, making the recessed portions of the liner thinner than the remainder of the material of liner.
Description




CROSS-REFERENCE TO RELATED APPLICATIONS




Application Ser. No. 09/084,042 of Matthew P. Mitchell for Concentric Foil Structure for Regenerators.




1. Background—Field of Invention




The invention relates to liners for the walls of the pulse tube portions of pulse tube refrigerators.




2. Background—Description of Prior Art




Pulse tube refrigerators are regenerative gas cycle refrigerators typically used as cryocoolers, providing cooling at temperatures below about 120 Kelvin. Pulse tube refrigerators are characterized by a tube, called the “pulse tube” in which a compressible fluid, typically helium, is cyclically shuttled back and forth while the pressure of the fluid, and thus its temperature, is cyclically changing. One end of the pulse tube becomes warm as warm, compressed fluid repeatedly moves toward the warm heat exchanger, where heat is rejected. The other end of the pulse tube becomes cold as fluid at lower pressure repeatedly moves toward the cold heat exchanger, where heat is lifted from the cooling load. In operation, fluid in the pulse tube acquires a temperature gradient from one end of the pulse tube to the other end. The wall of the pulse tube likewise acquires a temperature gradient from its warm end to its cold end. However, due to movement of the fluid, the temperature at any point on the wall of the pulse tube is seldom the same as the temperature of the fluid in contact with it.




With in-line and U-tube configurations, the pulse tube must be strong enough to contain the internal pressure of the working fluid with a margin of safety. It must also be strong enough to handle the mechanical stresses that it will experience during assembly and operation. That ordinarily implies a minimum metal wall thickness of the order of 0.3 mm for refrigerators with a few watts of capacity and thicker walls for larger machines. Because metals have high diffusivity and substantial volumetric heat capacity, their thermal inertia is high. Thus pulse tube walls have much more thermal mass than the working fluid in the refrigerator, and their local temperatures change little over the course of a cycle. Heat transfer between the working fluid, in which temperature is constantly changing, and pulse tube walls, which remain essentially isothermal, seriously damps temperature swings in the fluid, especially in small-diameter pulse tubes, in which much of the fluid lies within a penetration depth from the wall of the pulse tube, and in low frequency refrigerators, in which heat transfer occurs over a relatively long time interval, thereby increasing penetration depths.




Heat transfer between fluid and pulse tube wall also tends to generate a “streaming” effect in the fluid in the pulse tube. Streaming causes fluid adjacent to the wall of the pulse tube to move toward its warm end; a balancing flow at the axis of the pulse tube moves from the warm end toward the cold end. Torroidal convection generated by streaming flows constitutes another loss mechanism that decreases cooling power and reduces efficiency of the refrigerator.




The adverse effects of temperature-swing damping and streaming have been recognized by others. A solution to the streaming problem been proposed. Olson and Swift have counteracted streaming with a carefully-calculated taper in pulse tube walls. (U.S. Pat. No. 5,953,920). That, however, does not prevent the adverse effects of heat transfer in damping temperature swings in the fluid.




Marquardt and Radebaugh have suggested the use of plastic liners in a pulse tube as a means of changing the volume of the pulse tube, and to reduce conduction losses. They also mention the possibility of tapering the liners to reduce streaming. (“Pulse Tube Oxygen Liquefier”, Advances in Cryogenic Engineering, Vol. 45A, p. 457 at p. 460 (Kluwer Academic/Plenum Publishers 1999)). While not expressly noted by Marquardt and Radebaugh, the relatively poor heat transfer in plastic would permit its surface temperature to fluctuate somewhat more than would the wall of a metal pulse tube of equal thickness. However, the volumetric heat capacity of suitable plastic materials is substantial, and a plastic liner would need to be relatively thick to provide the structural strength required survive handling and to maintain its integrity in place. That would require substantial thermal mass in a plastic liner, providing no adequate solution to the temperature-swing damping problem. Moreover, the coefficients of expansion for plastic materials are substantially larger than for metals; the cold end of a plastic liner would contract more than a steel pulse tube in which it was installed, opening up a gap that would create undesirable “appendix gap” losses well understood in the Stirling Cycle engine art. No successful application of plastic pulse tube liners has been reported.




SUMMARY OF INVENTION




A thin liner fabricated from a strong material with relatively low heat capacity, preferably of metal, is installed in the pulse tube in close proximity to the pulse tube wall. Because the liner is in intimate contact with the fluid in the pulse tube, and because the fluid in the pulse tube is almost always in motion, heat transfer between the fluid and the liner is relatively good. Because the liner is in only intermittent contact with the wall of the pulse tube, and because the thin layer of fluid trapped between the liner and the wall of the pulse tube is stagnant, heat transfer between the liner and the wall of the pulse tube is relatively poor. Because the liner itself is thin, its heat capacity is low. Thus, the effect of heat transfers between the fluid and the liner is to substantially alter the temperature of the liner as well as the temperature of the fluid, raising the liner temperature as the fluid is cooled, and vice versa. The result is that the temperature difference between the fluid and the liner at any instant is less than it would otherwise be, and thus less heat is transferred back and forth between the liner and the fluid, resulting in a smaller change in the temperature of the fluid. That reduces thermodynamic losses due to damping of temperature swings in the fluid and reduces the tendency toward streaming that would otherwise occur in untapered pulse tubes.




OBJECTS AND ADVANTAGES




Several objects and advantages of this invention are:




(1) To reduce thermodynamic losses resulting from the damping effect of heat transfer between the pulse tube of a pulse tube refrigerator and the fluid in that pulse tube.




(2) To reduce thermodynamic losses resulting from streaming effects induced by heat transfer between the pulse tube of a pulse tube refrigerator and the fluid in that pulse tube.




(3) To provide simple, inexpensive means for reducing thermodynamic losses resulting from the damping effect of heat transfer between the pulse tube of a pulse tube refrigerator and the fluid in that pulse tube.




(4) To provide simple, inexpensive means for reducing thermodynamic losses resulting from streaming effects induced by heat transfer between the pulse tube of a pulse tube refrigerator and the fluid in that pulse tube.




Further objects and advantages will become apparent from a consideration of the following description and drawings.











DRAWING FIGURES





FIG. 1

is a schematic view of a prior art linear pulse tube refrigerator.





FIG. 2

is a schematic view of a prior art U-tube pulse tube refrigerator.





FIG. 3

is a schematic view of a prior art coaxial pulse tube refrigerator.





FIG. 4

is a perspective view of a pulse tube equipped with a foil liner of this invention.





FIG. 5

is a schematic cross section of a portion of a liner with an unbonded butt joint.





FIG. 6

is a schematic cross section of a portion of a liner with a welded joint.





FIG. 7

illustrates points of contact between a pulse tube and a foil liner of this invention.





FIG. 8

is a view of the recessed side of a portion of a piece of recessed foil.











REFERENCE NUMERALS IN DRAWINGS






50


pressure containment envelope






52


compressor






54


compression space






56


aftercooler






58


regenerator






59


pulse tube






60


cold end of pulse tube






61


warm end of pulse tube






62


cold heat exchanger






66


warm heat exchanger






68


orifice






70


reservoir






80


liner






82


joint






84


point of contact






85


recessed foil






86


indented recesses






88


full thickness portion






90


welded joint






91


first edge of welded foil






92


second edge of welded foil






94


butt joint






95


first edge of unbonded foil






96


second edge of unbonded foil




Definitions




For purposes of this patent, “foil” means a sheet of material that is thin in one dimension relative to its other two dimensions. “Surface” as applied to foil means one of the two surfaces of relatively large area, as distinguished from the edges, whose short dimension is approximately the thickness of the foil. “Smooth foil” means foil that is smooth on both sides and substantially the same thickness over its entire surface area. “Sculpted foil” means foil that has been sculpted, by photoetching or any other process, so that its thickness is different, at some points on its surface, from its thickness at other points on its surface, with one surface remaining smooth. “Recessed foil” means sculpted foil in which thinner areas of foil are surrounded by thicker areas of foil, as, for example, in a waffle pattern. “Recessed indentation” means an area of foil surface that is surrounded by an area of thicker foil. “Intermittent contact” as applied to the contact between a liner and a pulse tube, means contact at multiple locations distributed over the surface of the liner, but over a total area smaller than the total outer surface area of the liner. “Thermal mass” means heat capacity multiplied by mass, expressed in terms of the amount of heat required to change the temperature of the mass by a specified amount.




Description—

FIGS. 1

,


2


and


3


—Prior Art





FIG. 1

is a schematic representation of a prior art orifice pulse tube refrigerator in a linear arrangement. The pressure containment envelope


50


contains fluid in a compressor


52


, compression space


54


, aftercooler


56


, regenerator


58


, cold heat exchanger


62


, pulse tube


59


, warm heat exchanger


66


, orifice


68


and reservoir


70


. All of those components are connected to each other, allowing fluid to flow between them. Compressor


52


may be any device that can cyclically force a fluid, typically helium, to move back and forth through aftercooler


56


. That motion in turn causes fluid to move back and forth through the other components of the refrigerator, in a pulse tube cooling cycle well known to the cryocooler art. In a linear pulse tube refrigerator, the wall of pulse tube


59


is part of the pressure containment envelope and its wall must be strong enough to contain the maximum pressure of the working fluid with a margin of safety.





FIG. 2

is a schematic representation of a prior art orifice pulse tube refrigerator in a U-tube arrangement. All of the components are as in

FIG. 1

except for cold heat exchanger


62


, which also serves as the duct that carries fluid passing between regenerator


58


and the cold end of pulse tube


60


through a 180 degree change in direction. Again, The wall of pulse tube


59


is part of the pressure containment envelope and its wall must be strong enough to contain the maximum pressure of the working fluid with a margin of safety.





FIG. 3

is a schematic representation of a prior art orifice pulse tube refrigerator in a coaxial arrangement. All of the components perform the same functions as in

FIGS. 1 and 2

. As in

FIG. 2

, fluid passing between regenerator


58


and the cold end of pulse tube


60


undergoes a 180 degree change in direction. However, the wall of pulse tube


59


is not part of the pressure containment envelope


50


and it need only be strong enough to withstand pressure differences between the inside of the wall of pulse tube


59


and regenerator


58


, which surrounds pulse tube


59


. Those pressure differences are typically around an order of magnitude smaller than pressure differences between the inside and outside of pressure containment envelope


50


.




FIGS.


4


-


8


—Preferred Embodiment




In a preferred embodiment of this invention, shown in

FIG. 4

, a layer of liner


80


is installed in pulse tube


59


, which may be a pulse tube of a linear pulse tube refrigerator as shown in

FIG. 1

, a U-tube pulse tube refrigerator as shown in

FIG. 2

or a coaxial pulse tube refrigerator as shown in FIG.


3


. Pulse tube


59


may be of any material. Pulse tube


59


will typically have a wall thickness of 0.15 mm or greater. Liner


80


will typically have a maximum thickness of about 0.055 mm or less. Joint


82


in

FIG. 4

may be a butt joint as shown in

FIG. 5

or a welded joint as shown in FIG.


6


. Alternatively, a tube of similar thickness formed by any other process, would be equivalent. For lowest cost, liner


80


may be smooth stainless steel or titanium foil. Alternatively, where higher cost is justified, liner


80


may be recessed foil, preferably fabricated from 0.0254 mm 316 L stainless steel, full hard, or 0.0305 mm titanium foil etched in the pattern shown in

FIG. 8

, with foil in indented recesses thinned to about 0.010-0.015 mm. Hard contact between liner


80


and pulse tube


59


should be intermittent, as shown in FIG.


7


.





FIG. 5

shows a portion of a cross-section of pulse tube


59


containing liner


80


of this invention. As shown in

FIG. 5

, joint


94


is a butt joint. Foil has been inserted into pulse tube


59


with first edge of unbonded foil


95


overlapping second edge of unbonded foil


96


. Liner


80


has then been pressed out against the wall of pulse tube


59


until edges


95


and


96


have slipped past each other, using an inflated bladder, as shown, for example, in my prior patent No. 6,347,453, incorporated herein by reference. When the bladder is deflated and removed, the natural springiness of liner


80


holds first and second edges of unbonded foil


95


and


96


against the inner wall of pulse tube


59


, causing those edges to butt up against each other at an unbonded butt joint


94


.





FIG. 6

shows a portion of a cross-section of a pulse tube


59


containing the liner


80


of this invention. As shown in

FIG. 6

, joint


90


is a welded joint. First edge of welded foil


91


and second edge of welded foil


92


have been etched to create flanges approximately half the thickness of the thickest part of the foil. Those edges overlap to create a smooth joint no thicker than other parts of liner


80


. The overlapping portions of edges


91


and


92


can be welded by laser welding or resistance welding processes known to the art. Liner


80


, in the form of a tube, can then be inserted into pulse tube


59


.





FIG. 7

shows a portion of a cross-section of a pulse tube


59


containing liner


80


of this invention. Liner


80


, in the form of a rolled sheet with butt joint as shown in

FIG. 5

, a welded tube formed as shown in

FIG. 6

, or formed by another process, is installed in pulse tube


59


with a close fit. Small high spots in the surface of liner


80


and the inner wall of pulse tube


59


create points of contact


84


, where the material of pulse tube


59


touches liner


80


. At all other points on its outer surface, liner


80


is separate from pulse tube


59


by a small clearance filled with the working fluid of the pulse tube refrigerator, typically helium.





FIG. 8

shows a small portion of recessed foil


85


, sculpted on the side shown by a process that produces indented recesses


86


. Full thickness portions


88


of liner


80


surround each recessed portion


86


. Photoetching is a preferred method of creating indented recesses


86


in recessed foil


85


. When a photoetching process is used, full thickness portions


88


between indented recesses


86


must be wide enough to retain a photoresist during the etching process. Typically, that will require that full thickness portion


88


be at least 0.1 mm wide. Depth of etch in the indented recesses


86


is preferably at least half the thickness of the foil prior to etching. Width and length of indented recesses


86


are governed primarily by the structural requirements imposed by charge pressure of the working fluid and the ratio between highest and lowest pressures developed over the course of a cycle of operation. Liner


80


is thinner at the locations of the indented recesses, and when the foil is installed in a pulse tube, the indented recesses face the pulse tube wall. Thus, the portions of the foil that have been thinned by etching are not in contact with the wall of the pulse tube and are free to move in response to changing pressure in the pulse tube. Calculations to determine dimensions that will hold that motion within acceptable limits are known to the art. As an approximation, lengths and widths of indented recesses


86


of the order of 1-2 mm may be appropriate in some cases. Shapes of indented recesses may be square, rectangular, hexagonal or other shapes.




OPERATION




This invention improves pulse tube refrigerators. It employs a thin liner inside a pulse tube, but slightly separated from the wall of the pulse tube over most of its area so that the thermal contact between the liner and the pulse tube wall is minimized. The mass of the liner is as small as possible without compromising its structural integrity. The pulse tube itself is made of more substantial material and provides the main structural support for the liner; the liner need only support itself in position on the pulse tube wall. The small mass of thin liners minimizes their thermal inertia. That permits the temperature of the liner to float up and down over the course of the cycle, thereby reducing the temperature gradient between the working fluid and the liner. That, in turn, reduces adverse heat transfers to and from the fluid over the course of the cycle.




ADVANTAGES




This invention is a simple, inexpensive way to improve performance of pulse tube refrigerators. It is particularly advantageous where the temperature swing in the fluid is large, as is the case with pulse tube refrigerators running at relatively low frequencies in the range of 1-10 Hz and at relatively high pressure ratios in the range of 1.5 and higher. It is also particularly advantageous in smaller-diameter pulse tubes in which a larger portion of the fluid is within a penetration depth of the wall of the pulse tube, and thus subject to having its temperature damped by heat transfers to and from the surface to which it is exposed.




CONCLUSIONS, RAMIFICATIONS AND SCOPE




This invention improves upon prior art pulse tube refrigerators by reducing the thermal inertia of the surface in contact with fluid in the pulse tube. As a consequence, the temperature fluctuation in the surface in contact with the fluid in the pulse tube is greater than in prior art pulse tube refrigerators, reducing the amount of heat that is transferred back and forth between that surface and the fluid. By reducing heat transfers back and forth between the fluid in the pulse tube and the surface with which that fluid is in contact, this invention reduces thermodynamic losses resulting from damping of temperature fluctuations in the fluid in the pulse tube and convective losses caused by streaming induced by that heat transfer.




Although the description above contains many specifics, these should not be construed as limiting the scope of the invention but merely as providing illustrations of some of the presently preferred embodiments of this invention Thus, the scope of the invention should be determined by the appended claims and their legal equivalents, rather than by the examples given.



Claims
  • 1. In a pulse-tube refrigerator, an improvement comprising a linear in the pulse tube of said pulse tube refrigeratorwherein said liner is in intermittent contact with the wall of said pulse tube, and wherein said liner has less thermal mass than does said pulse tube, and wherein substantial portions of said liner are less than 0.030 mm thick.
  • 2. The liner of claim 1 wherein said liner comprises a tube.
  • 3. The liner of claim 2 wherein said liner comprises a seamless tube.
  • 4. The liner of claim 2 wherein said liner comprises a welded tube.
  • 5. The liner of claim 1 wherein said liner comprises a sheet of foil installed in said pulse tube with an unbonded butt joint.
  • 6. The liner of claim 1 wherein said liner is a metal liner.
  • 7. The metal liner of claim 6 wherein the metal of said metal liner is selected from the group consisting of stainless steel and titanium.
  • 8. In a pulse tube refrigerator, an improvement comprising a liner in the pulse tube of said pulse tube refrigeratorwherein said liner is in intermittent contact with the wall of said pulse tube, and wherein said liner has less thermal mass than does said pulse tube, and wherein said liner has an outer surface in contact with said wall of said pulse tube, and an inner surface in contact with fluid in said pulse tube, and indented recesses on said outer surface.
  • 9. The liner of claim 8 wherein the average distance between said outer surface and said inner surface is less than 0.055 mm.
  • 10. The liner of claim 8 wherein the average thickness of said liner in said indented recesses is less than 0.030 mm.
  • 11. The liner of claim 8 wherein said liner is a metal liner.
  • 12. The metal liner of claim 11 wherein the metal of said metal liner is selected from the group consisting of stainless steel and titanium.
  • 13. The metal liner of claim 11 wherein said metal liner comprises a tube.
  • 14. The metal liner of claim 11 wherein said metal liner comprises a seamless tube.
  • 15. The metal liner of claim 11 wherein said metal liner comprises a welded tube.
  • 16. The metal liner of claim 11 wherein said metal liner comprises a sheet of foil installed in said pulse tube with an unbonded butt joint.
  • 17. The metal liner of claim 11 wherein the average distance between said outer surface and said inner surface is less than 0.030 mm.
  • 18. The metal liner of claim 11 wherein the average thickness of said metal liner in said indented recesses is less than 0.015 mm.
  • 19. The metal liner of claim 11wherein the average distance between said outer surface and said inner surface is less than 0.030 mm, and wherein the average thickness of said metal liner in said indented recesses is less than 0.015 mm.
GOVERNMENT RIGHTS

The invention was made with Government support under contract F29601-99-C-0171 awarded by the United States Air Force. The Government has certain rights in the invention.

US Referenced Citations (3)
Number Name Date Kind
5335505 Ohtani Aug 1994 A
5953920 Swift Sep 1999 A
6347453 Mitchell Feb 2002 B1
Non-Patent Literature Citations (8)
Entry
Willems, D. W. J., et al. “Three Dimensional Pulse Tube Simulations”, Advances in Cryogenic Engineering, (Kluwer Academic/Plenum Publishers, 2002) vol. 47A, pp. 934-941, at p. 939.
Yang, L. W. “Shuttle Loss in Pulse Tubes”, Cryocoolers 11 (Kluwer Academic/Plenum Publishers, 2001), pp. 353-362, at “Loss due to Gas Piston Flow”, p. 356 and “Loss Analysis—Comparison With Theoretical Refrigeration” at p. 361.
Yang, L. W. et al., “Theoretical Analysis of Refrigeration and Losses in a Pulse Tube” Advances in Cryogenic Engineering, (Kluwer Academic/Plenum Publishers, 2000) vol. 45A, pp. 175-182 at pp. 180-182.
Marquardt, E. D., et al. “Pulse Tube Oxygen Liquefier”, Advances in Cryogenic Engineering, (Kluwer Academic/Plenum Publishers, 2000) vol. 45A, pp. 457-464 at section “Pulse Tube”, p. 460.
Swift, G. W., et al. “Performance of a Tapered Pulse Tube”, Cryocoolers 10 (Plenum Press, 1999) pp. 315-320.
Lee, J. M., et al., “Higher Order Pulse Tube Modeling”, Cryocoolers 9 (Plenum Press 1997), pp. 345-353, Figures 2, 3, 4, and related text.
Lee, J. M., et al., “Steady Secondary Momentum and Enthalpy Streaming in the Pulse Tube Refrigerator”, Cryocoolers 8, (Plenum Press, 1995), pp. 359-369, Summary, at pp. 365-366.
Jeong, S., Nam, K., Kim, M.G., Chang, H.-M., and Jeong, E.S., “Experimental Study of Heat Transfer in Pulse Tubes”, Cryocoolers 11 (Kluwer Academic/Plenum Publishers, 2001), pp. 345-351, at p. 347.